Paramagnetic Resonance In Solids


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SOLID STATE PHYSICS PART II Optical Properties of Solids M. S. Dresselhaus 1 Contents 1 Review of Fundamental Relations for Optical Phenomena 1.1 Introductory Remarks on Optical Probes . . . . . . . . . . . . . . . . 1.2 The Complex dielectric function and the complex optical conductivity 1.3 Relation of Complex Dielectric Function to Observables . . . . . . . . 1.4 Units for Frequency Measurements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1 2 4 7 to the Optical Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 8 10 11 11 . . . . . . . 15 15 19 19 19 20 21 23 4 The Joint Density of States and Critical Points 4.1 The Joint Density of States . . . . . . . . . . . . . . . . . . . . . . . . . . . 4.2 Critical Points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 27 30 5 Absorption of Light in Solids 5.1 The Absorption Coefficient . . . . . . . . . . . . . . . . . . . . . 5.2 Free Carrier Absorption in Semiconductors . . . . . . . . . . . . 5.3 Free Carrier Absorption in Metals . . . . . . . . . . . . . . . . . 5.4 Direct Interband Transitions . . . . . . . . . . . . . . . . . . . . 5.4.1 Temperature Dependence of Eg . . . . . . . . . . . . . . . 5.4.2 Dependence of Absorption Edge on Fermi Energy . . . . . 5.4.3 Dependence of Absorption Edge on Applied Electric Field 5.5 Conservation of Crystal Momentum in Direct Optical Transitions 5.6 Indirect Interband Transitions . . . . . . . . . . . . . . . . . . . . 36 36 37 38 41 46 46 47 47 50 2 Drude Theory–Free Carrier Contribution 2.1 The Free Carrier Contribution . . . . . . 2.2 Low Frequency Response: ωτ ¿ 1 . . . . 2.3 High Frequency Response;
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